Answer
$\dfrac{1}{y^{11}}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{y^{-5}}{(y^3)^2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{y^{-5}}{y^{3(2)}}
\\\\=
\dfrac{y^{-5}}{y^{6}}
\\\\=
y^{-5-6}
\\\\=
y^{-11}
\\\\=
\dfrac{1}{y^{11}}
.\end{array}